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Finding the Fourth Proportional to 153,125.42, 229,734.74 and 78,298.12

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Solution

The fourth proportional to 153,125.42, 229,734.74 and 78,298.12 is: 117,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,125.42 : 229,734.74 = 78,298.12 : x
  2. Step 2: Convert to fraction form
    153,125.42/229,734.74 = 78,298.12/x
  3. Step 3: Cross multiply
    153,125.42x = 229,734.74 × 78,298.12
  4. Step 4: Simplify right side
    153,125.42x = 17,987,798,240.69
  5. Step 5: Solve for x
    x = 17,987,798,240.69/153,125.42
  6. Step 6: Final answer
    x = 117,471.01

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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.