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Finding the Fourth Proportional to 147,898.60, 221,987.10 and 77,828.20

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Solution

The fourth proportional to 147,898.60, 221,987.10 and 77,828.20 is: 116,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,898.60 : 221,987.10 = 77,828.20 : x
  2. Step 2: Convert to fraction form
    147,898.60/221,987.10 = 77,828.20/x
  3. Step 3: Cross multiply
    147,898.60x = 221,987.10 × 77,828.20
  4. Step 4: Simplify right side
    147,898.60x = 17,276,856,416.22
  5. Step 5: Solve for x
    x = 17,276,856,416.22/147,898.60
  6. Step 6: Final answer
    x = 116,815.55

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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.