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Finding the Fourth Proportional to 109,645.16, 151,309.86 and 61,897.96

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Solution

The fourth proportional to 109,645.16, 151,309.86 and 61,897.96 is: 85,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,645.16 : 151,309.86 = 61,897.96 : x
  2. Step 2: Convert to fraction form
    109,645.16/151,309.86 = 61,897.96/x
  3. Step 3: Cross multiply
    109,645.16x = 151,309.86 × 61,897.96
  4. Step 4: Simplify right side
    109,645.16x = 9,365,771,661.89
  5. Step 5: Solve for x
    x = 9,365,771,661.89/109,645.16
  6. Step 6: Final answer
    x = 85,418.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.