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Finding the Fourth Proportional to 157,037.16, 216,713.38 and 89,969

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Solution

The fourth proportional to 157,037.16, 216,713.38 and 89,969 is: 124,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,037.16 : 216,713.38 = 89,969 : x
  2. Step 2: Convert to fraction form
    157,037.16/216,713.38 = 89,969/x
  3. Step 3: Cross multiply
    157,037.16x = 216,713.38 × 89,969
  4. Step 4: Simplify right side
    157,037.16x = 19,497,486,085.22
  5. Step 5: Solve for x
    x = 19,497,486,085.22/157,037.16
  6. Step 6: Final answer
    x = 124,158.42

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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.