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Finding the Fourth Proportional to 78,897.84, 118,506.06 and 47,367.93

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Solution

The fourth proportional to 78,897.84, 118,506.06 and 47,367.93 is: 71,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,897.84 : 118,506.06 = 47,367.93 : x
  2. Step 2: Convert to fraction form
    78,897.84/118,506.06 = 47,367.93/x
  3. Step 3: Cross multiply
    78,897.84x = 118,506.06 × 47,367.93
  4. Step 4: Simplify right side
    78,897.84x = 5,613,386,754.66
  5. Step 5: Solve for x
    x = 5,613,386,754.66/78,897.84
  6. Step 6: Final answer
    x = 71,147.53

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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.