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Finding the Fourth Proportional to 56,483.51, 77,946.84 and 30,989.16

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Solution

The fourth proportional to 56,483.51, 77,946.84 and 30,989.16 is: 42,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,483.51 : 77,946.84 = 30,989.16 : x
  2. Step 2: Convert to fraction form
    56,483.51/77,946.84 = 30,989.16/x
  3. Step 3: Cross multiply
    56,483.51x = 77,946.84 × 30,989.16
  4. Step 4: Simplify right side
    56,483.51x = 2,415,507,096.25
  5. Step 5: Solve for x
    x = 2,415,507,096.25/56,483.51
  6. Step 6: Final answer
    x = 42,764.82

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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.