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Finding the Fourth Proportional to 234,129.80, 351,159.06 and 76,358

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Solution

The fourth proportional to 234,129.80, 351,159.06 and 76,358 is: 114,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,129.80 : 351,159.06 = 76,358 : x
  2. Step 2: Convert to fraction form
    234,129.80/351,159.06 = 76,358/x
  3. Step 3: Cross multiply
    234,129.80x = 351,159.06 × 76,358
  4. Step 4: Simplify right side
    234,129.80x = 26,813,803,503.48
  5. Step 5: Solve for x
    x = 26,813,803,503.48/234,129.80
  6. Step 6: Final answer
    x = 114,525.38

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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.