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Finding the Fourth Proportional to 98,970.40, 148,351.92 and 63,984.16

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Solution

The fourth proportional to 98,970.40, 148,351.92 and 63,984.16 is: 95,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,970.40 : 148,351.92 = 63,984.16 : x
  2. Step 2: Convert to fraction form
    98,970.40/148,351.92 = 63,984.16/x
  3. Step 3: Cross multiply
    98,970.40x = 148,351.92 × 63,984.16
  4. Step 4: Simplify right side
    98,970.40x = 9,492,172,985.59
  5. Step 5: Solve for x
    x = 9,492,172,985.59/98,970.40
  6. Step 6: Final answer
    x = 95,909.21

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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.