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Finding the Fourth Proportional to 98,570.80, 147,929.10 and 65,279.80

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Solution

The fourth proportional to 98,570.80, 147,929.10 and 65,279.80 is: 97,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,570.80 : 147,929.10 = 65,279.80 : x
  2. Step 2: Convert to fraction form
    98,570.80/147,929.10 = 65,279.80/x
  3. Step 3: Cross multiply
    98,570.80x = 147,929.10 × 65,279.80
  4. Step 4: Simplify right side
    98,570.80x = 9,656,782,062.18
  5. Step 5: Solve for x
    x = 9,656,782,062.18/98,570.80
  6. Step 6: Final answer
    x = 97,967.98

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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.