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Finding the Fourth Proportional to 148,775.59, 205,373.16 and 100,442.98

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Solution

The fourth proportional to 148,775.59, 205,373.16 and 100,442.98 is: 138,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,775.59 : 205,373.16 = 100,442.98 : x
  2. Step 2: Convert to fraction form
    148,775.59/205,373.16 = 100,442.98/x
  3. Step 3: Cross multiply
    148,775.59x = 205,373.16 × 100,442.98
  4. Step 4: Simplify right side
    148,775.59x = 20,628,292,459.13
  5. Step 5: Solve for x
    x = 20,628,292,459.13/148,775.59
  6. Step 6: Final answer
    x = 138,653.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.