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Finding the Fourth Proportional to 10,128,652.31, 13,978,870.83 and 5,776,741.01

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Solution

The fourth proportional to 10,128,652.31, 13,978,870.83 and 5,776,741.01 is: 7,972,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128,652.31 : 13,978,870.83 = 5,776,741.01 : x
  2. Step 2: Convert to fraction form
    10,128,652.31/13,978,870.83 = 5,776,741.01/x
  3. Step 3: Cross multiply
    10,128,652.31x = 13,978,870.83 × 5,776,741.01
  4. Step 4: Simplify right side
    10,128,652.31x = 80,752,316,327,259.39
  5. Step 5: Solve for x
    x = 80,752,316,327,259.39/10,128,652.31
  6. Step 6: Final answer
    x = 7,972,661.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.