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Finding the Fourth Proportional to 153,598.64, 230,443.31 and 78,771.20

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Solution

The fourth proportional to 153,598.64, 230,443.31 and 78,771.20 is: 118,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,598.64 : 230,443.31 = 78,771.20 : x
  2. Step 2: Convert to fraction form
    153,598.64/230,443.31 = 78,771.20/x
  3. Step 3: Cross multiply
    153,598.64x = 230,443.31 × 78,771.20
  4. Step 4: Simplify right side
    153,598.64x = 18,152,294,514.60
  5. Step 5: Solve for x
    x = 18,152,294,514.60/153,598.64
  6. Step 6: Final answer
    x = 118,180.05

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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.