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Finding the Fourth Proportional to 98,547.78, 147,819.59 and 31,987.80

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Solution

The fourth proportional to 98,547.78, 147,819.59 and 31,987.80 is: 47,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,547.78 : 147,819.59 = 31,987.80 : x
  2. Step 2: Convert to fraction form
    98,547.78/147,819.59 = 31,987.80/x
  3. Step 3: Cross multiply
    98,547.78x = 147,819.59 × 31,987.80
  4. Step 4: Simplify right side
    98,547.78x = 4,728,423,321.06
  5. Step 5: Solve for x
    x = 4,728,423,321.06/98,547.78
  6. Step 6: Final answer
    x = 47,981.02

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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.