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Finding the Fourth Proportional to 145,838.86, 218,770.64 and 40,657.93

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Solution

The fourth proportional to 145,838.86, 218,770.64 and 40,657.93 is: 60,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.86 : 218,770.64 = 40,657.93 : x
  2. Step 2: Convert to fraction form
    145,838.86/218,770.64 = 40,657.93/x
  3. Step 3: Cross multiply
    145,838.86x = 218,770.64 × 40,657.93
  4. Step 4: Simplify right side
    145,838.86x = 8,894,760,070.03
  5. Step 5: Solve for x
    x = 8,894,760,070.03/145,838.86
  6. Step 6: Final answer
    x = 60,990.33

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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.