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Finding the Fourth Proportional to 153,914.61, 230,870.70 and 82,870.53

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Solution

The fourth proportional to 153,914.61, 230,870.70 and 82,870.53 is: 124,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,914.61 : 230,870.70 = 82,870.53 : x
  2. Step 2: Convert to fraction form
    153,914.61/230,870.70 = 82,870.53/x
  3. Step 3: Cross multiply
    153,914.61x = 230,870.70 × 82,870.53
  4. Step 4: Simplify right side
    153,914.61x = 19,132,377,270.47
  5. Step 5: Solve for x
    x = 19,132,377,270.47/153,914.61
  6. Step 6: Final answer
    x = 124,305.14

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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.