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Finding the Fourth Proportional to 153,419.61, 230,184.94 and 78,575.01

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Solution

The fourth proportional to 153,419.61, 230,184.94 and 78,575.01 is: 117,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,419.61 : 230,184.94 = 78,575.01 : x
  2. Step 2: Convert to fraction form
    153,419.61/230,184.94 = 78,575.01/x
  3. Step 3: Cross multiply
    153,419.61x = 230,184.94 × 78,575.01
  4. Step 4: Simplify right side
    153,419.61x = 18,086,783,962.35
  5. Step 5: Solve for x
    x = 18,086,783,962.35/153,419.61
  6. Step 6: Final answer
    x = 117,890.95

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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.