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Finding the Fourth Proportional to 98,430.40, 147,666.88 and 31,877.20

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Solution

The fourth proportional to 98,430.40, 147,666.88 and 31,877.20 is: 47,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,430.40 : 147,666.88 = 31,877.20 : x
  2. Step 2: Convert to fraction form
    98,430.40/147,666.88 = 31,877.20/x
  3. Step 3: Cross multiply
    98,430.40x = 147,666.88 × 31,877.20
  4. Step 4: Simplify right side
    98,430.40x = 4,707,206,667.14
  5. Step 5: Solve for x
    x = 4,707,206,667.14/98,430.40
  6. Step 6: Final answer
    x = 47,822.69

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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.