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Finding the Fourth Proportional to 157,091.47, 216,779.75 and 85,471.78

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Solution

The fourth proportional to 157,091.47, 216,779.75 and 85,471.78 is: 117,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,091.47 : 216,779.75 = 85,471.78 : x
  2. Step 2: Convert to fraction form
    157,091.47/216,779.75 = 85,471.78/x
  3. Step 3: Cross multiply
    157,091.47x = 216,779.75 × 85,471.78
  4. Step 4: Simplify right side
    157,091.47x = 18,528,551,100.46
  5. Step 5: Solve for x
    x = 18,528,551,100.46/157,091.47
  6. Step 6: Final answer
    x = 117,947.53

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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.