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Finding the Fourth Proportional to 162,479.47, 243,838.98 and 77,090.68

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Solution

The fourth proportional to 162,479.47, 243,838.98 and 77,090.68 is: 115,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,479.47 : 243,838.98 = 77,090.68 : x
  2. Step 2: Convert to fraction form
    162,479.47/243,838.98 = 77,090.68/x
  3. Step 3: Cross multiply
    162,479.47x = 243,838.98 × 77,090.68
  4. Step 4: Simplify right side
    162,479.47x = 18,797,712,393.25
  5. Step 5: Solve for x
    x = 18,797,712,393.25/162,479.47
  6. Step 6: Final answer
    x = 115,692.85

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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.