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Finding the Fourth Proportional to 157,112.84, 235,706.16 and 51,931.80

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Solution

The fourth proportional to 157,112.84, 235,706.16 and 51,931.80 is: 77,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,112.84 : 235,706.16 = 51,931.80 : x
  2. Step 2: Convert to fraction form
    157,112.84/235,706.16 = 51,931.80/x
  3. Step 3: Cross multiply
    157,112.84x = 235,706.16 × 51,931.80
  4. Step 4: Simplify right side
    157,112.84x = 12,240,645,159.89
  5. Step 5: Solve for x
    x = 12,240,645,159.89/157,112.84
  6. Step 6: Final answer
    x = 77,909.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.