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Finding the Fourth Proportional to 101,812.74, 140,509.29 and 56,499.30

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Solution

The fourth proportional to 101,812.74, 140,509.29 and 56,499.30 is: 77,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,812.74 : 140,509.29 = 56,499.30 : x
  2. Step 2: Convert to fraction form
    101,812.74/140,509.29 = 56,499.30/x
  3. Step 3: Cross multiply
    101,812.74x = 140,509.29 × 56,499.30
  4. Step 4: Simplify right side
    101,812.74x = 7,938,676,528.50
  5. Step 5: Solve for x
    x = 7,938,676,528.50/101,812.74
  6. Step 6: Final answer
    x = 77,973.31

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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.