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Finding the Fourth Proportional to 153,813.20, 230,719.80 and 147,908.30

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Solution

The fourth proportional to 153,813.20, 230,719.80 and 147,908.30 is: 221,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,813.20 : 230,719.80 = 147,908.30 : x
  2. Step 2: Convert to fraction form
    153,813.20/230,719.80 = 147,908.30/x
  3. Step 3: Cross multiply
    153,813.20x = 230,719.80 × 147,908.30
  4. Step 4: Simplify right side
    153,813.20x = 34,125,373,394.34
  5. Step 5: Solve for x
    x = 34,125,373,394.34/153,813.20
  6. Step 6: Final answer
    x = 221,862.45

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1.5x scale

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.