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Finding the Fourth Proportional to 157,191.94, 216,947.28 and 89,225.74

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Solution

The fourth proportional to 157,191.94, 216,947.28 and 89,225.74 is: 123,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,191.94 : 216,947.28 = 89,225.74 : x
  2. Step 2: Convert to fraction form
    157,191.94/216,947.28 = 89,225.74/x
  3. Step 3: Cross multiply
    157,191.94x = 216,947.28 × 89,225.74
  4. Step 4: Simplify right side
    157,191.94x = 19,357,281,598.99
  5. Step 5: Solve for x
    x = 19,357,281,598.99/157,191.94
  6. Step 6: Final answer
    x = 123,144.24

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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.