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Finding the Fourth Proportional to 157,160.95, 216,959.01 and 105,459.55

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Solution

The fourth proportional to 157,160.95, 216,959.01 and 105,459.55 is: 145,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,160.95 : 216,959.01 = 105,459.55 : x
  2. Step 2: Convert to fraction form
    157,160.95/216,959.01 = 105,459.55/x
  3. Step 3: Cross multiply
    157,160.95x = 216,959.01 × 105,459.55
  4. Step 4: Simplify right side
    157,160.95x = 22,880,399,563.05
  5. Step 5: Solve for x
    x = 22,880,399,563.05/157,160.95
  6. Step 6: Final answer
    x = 145,585.78

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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.