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Finding the Fourth Proportional to 162,472.47, 243,604.88 and 78,064.66

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Solution

The fourth proportional to 162,472.47, 243,604.88 and 78,064.66 is: 117,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,472.47 : 243,604.88 = 78,064.66 : x
  2. Step 2: Convert to fraction form
    162,472.47/243,604.88 = 78,064.66/x
  3. Step 3: Cross multiply
    162,472.47x = 243,604.88 × 78,064.66
  4. Step 4: Simplify right side
    162,472.47x = 19,016,931,741.22
  5. Step 5: Solve for x
    x = 19,016,931,741.22/162,472.47
  6. Step 6: Final answer
    x = 117,047.11

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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.