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Finding the Fourth Proportional to 97,078.50, 145,407.42 and 47,053.95

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Solution

The fourth proportional to 97,078.50, 145,407.42 and 47,053.95 is: 70,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078.50 : 145,407.42 = 47,053.95 : x
  2. Step 2: Convert to fraction form
    97,078.50/145,407.42 = 47,053.95/x
  3. Step 3: Cross multiply
    97,078.50x = 145,407.42 × 47,053.95
  4. Step 4: Simplify right side
    97,078.50x = 6,841,992,925.03
  5. Step 5: Solve for x
    x = 6,841,992,925.03/97,078.50
  6. Step 6: Final answer
    x = 70,478.97

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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.