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Finding the Fourth Proportional to 98,470.47, 147,705.71 and 78,656.25

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Solution

The fourth proportional to 98,470.47, 147,705.71 and 78,656.25 is: 117,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,470.47 : 147,705.71 = 78,656.25 : x
  2. Step 2: Convert to fraction form
    98,470.47/147,705.71 = 78,656.25/x
  3. Step 3: Cross multiply
    98,470.47x = 147,705.71 × 78,656.25
  4. Step 4: Simplify right side
    98,470.47x = 11,617,976,858.91
  5. Step 5: Solve for x
    x = 11,617,976,858.91/98,470.47
  6. Step 6: Final answer
    x = 117,984.38

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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.