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Finding the Fourth Proportional to 145,761.86, 218,549.16 and 61,498.98

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Solution

The fourth proportional to 145,761.86, 218,549.16 and 61,498.98 is: 92,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,761.86 : 218,549.16 = 61,498.98 : x
  2. Step 2: Convert to fraction form
    145,761.86/218,549.16 = 61,498.98/x
  3. Step 3: Cross multiply
    145,761.86x = 218,549.16 × 61,498.98
  4. Step 4: Simplify right side
    145,761.86x = 13,440,550,419.86
  5. Step 5: Solve for x
    x = 13,440,550,419.86/145,761.86
  6. Step 6: Final answer
    x = 92,208.96

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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.