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Finding the Fourth Proportional to 98,492.80, 147,531.20 and 65,228.80

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Solution

The fourth proportional to 98,492.80, 147,531.20 and 65,228.80 is: 97,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,492.80 : 147,531.20 = 65,228.80 : x
  2. Step 2: Convert to fraction form
    98,492.80/147,531.20 = 65,228.80/x
  3. Step 3: Cross multiply
    98,492.80x = 147,531.20 × 65,228.80
  4. Step 4: Simplify right side
    98,492.80x = 9,623,283,138.56
  5. Step 5: Solve for x
    x = 9,623,283,138.56/98,492.80
  6. Step 6: Final answer
    x = 97,705.45

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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.