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Finding the Fourth Proportional to 157,432.64, 217,254.24 and 85,813.28

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Solution

The fourth proportional to 157,432.64, 217,254.24 and 85,813.28 is: 118,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,432.64 : 217,254.24 = 85,813.28 : x
  2. Step 2: Convert to fraction form
    157,432.64/217,254.24 = 85,813.28/x
  3. Step 3: Cross multiply
    157,432.64x = 217,254.24 × 85,813.28
  4. Step 4: Simplify right side
    157,432.64x = 18,643,298,928.31
  5. Step 5: Solve for x
    x = 18,643,298,928.31/157,432.64
  6. Step 6: Final answer
    x = 118,420.80

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1.5x scale

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.