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Finding the Fourth Proportional to 98,503.86, 147,779.16 and 31,944

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Solution

The fourth proportional to 98,503.86, 147,779.16 and 31,944 is: 47,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,503.86 : 147,779.16 = 31,944 : x
  2. Step 2: Convert to fraction form
    98,503.86/147,779.16 = 31,944/x
  3. Step 3: Cross multiply
    98,503.86x = 147,779.16 × 31,944
  4. Step 4: Simplify right side
    98,503.86x = 4,720,657,487.04
  5. Step 5: Solve for x
    x = 4,720,657,487.04/98,503.86
  6. Step 6: Final answer
    x = 47,923.58

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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.