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Finding the Fourth Proportional to 96,703.86, 144,393.98 and 86,643.66

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Solution

The fourth proportional to 96,703.86, 144,393.98 and 86,643.66 is: 129,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,703.86 : 144,393.98 = 86,643.66 : x
  2. Step 2: Convert to fraction form
    96,703.86/144,393.98 = 86,643.66/x
  3. Step 3: Cross multiply
    96,703.86x = 144,393.98 × 86,643.66
  4. Step 4: Simplify right side
    96,703.86x = 12,510,822,475.95
  5. Step 5: Solve for x
    x = 12,510,822,475.95/96,703.86
  6. Step 6: Final answer
    x = 129,372.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.