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Finding the Fourth Proportional to 157,053.76, 216,737.70 and 85,437.64

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Solution

The fourth proportional to 157,053.76, 216,737.70 and 85,437.64 is: 117,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,053.76 : 216,737.70 = 85,437.64 : x
  2. Step 2: Convert to fraction form
    157,053.76/216,737.70 = 85,437.64/x
  3. Step 3: Cross multiply
    157,053.76x = 216,737.70 × 85,437.64
  4. Step 4: Simplify right side
    157,053.76x = 18,517,557,587.03
  5. Step 5: Solve for x
    x = 18,517,557,587.03/157,053.76
  6. Step 6: Final answer
    x = 117,905.85

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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.