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Finding the Fourth Proportional to 157,223.76, 216,970.28 and 90,142.80

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Solution

The fourth proportional to 157,223.76, 216,970.28 and 90,142.80 is: 124,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,223.76 : 216,970.28 = 90,142.80 : x
  2. Step 2: Convert to fraction form
    157,223.76/216,970.28 = 90,142.80/x
  3. Step 3: Cross multiply
    157,223.76x = 216,970.28 × 90,142.80
  4. Step 4: Simplify right side
    157,223.76x = 19,558,308,555.98
  5. Step 5: Solve for x
    x = 19,558,308,555.98/157,223.76
  6. Step 6: Final answer
    x = 124,397.92

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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.