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Finding the Fourth Proportional to 157,223.84, 216,970.45 and 90,142.88

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Solution

The fourth proportional to 157,223.84, 216,970.45 and 90,142.88 is: 124,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,223.84 : 216,970.45 = 90,142.88 : x
  2. Step 2: Convert to fraction form
    157,223.84/216,970.45 = 90,142.88/x
  3. Step 3: Cross multiply
    157,223.84x = 216,970.45 × 90,142.88
  4. Step 4: Simplify right side
    157,223.84x = 19,558,339,927.69
  5. Step 5: Solve for x
    x = 19,558,339,927.69/157,223.84
  6. Step 6: Final answer
    x = 124,398.06

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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.