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Finding the Fourth Proportional to 243,641.86, 365,514.95 and 72,876.98

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Solution

The fourth proportional to 243,641.86, 365,514.95 and 72,876.98 is: 109,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,641.86 : 365,514.95 = 72,876.98 : x
  2. Step 2: Convert to fraction form
    243,641.86/365,514.95 = 72,876.98/x
  3. Step 3: Cross multiply
    243,641.86x = 365,514.95 × 72,876.98
  4. Step 4: Simplify right side
    243,641.86x = 26,637,626,796.83
  5. Step 5: Solve for x
    x = 26,637,626,796.83/243,641.86
  6. Step 6: Final answer
    x = 109,331.08

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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.