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Finding the Fourth Proportional to 98,961.60, 148,442.40 and 88,075.20

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Solution

The fourth proportional to 98,961.60, 148,442.40 and 88,075.20 is: 132,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,961.60 : 148,442.40 = 88,075.20 : x
  2. Step 2: Convert to fraction form
    98,961.60/148,442.40 = 88,075.20/x
  3. Step 3: Cross multiply
    98,961.60x = 148,442.40 × 88,075.20
  4. Step 4: Simplify right side
    98,961.60x = 13,074,094,068.48
  5. Step 5: Solve for x
    x = 13,074,094,068.48/98,961.60
  6. Step 6: Final answer
    x = 132,112.80

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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.