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Finding the Fourth Proportional to 153,208.80, 229,820.40 and 48,031.20

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Solution

The fourth proportional to 153,208.80, 229,820.40 and 48,031.20 is: 72,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,208.80 : 229,820.40 = 48,031.20 : x
  2. Step 2: Convert to fraction form
    153,208.80/229,820.40 = 48,031.20/x
  3. Step 3: Cross multiply
    153,208.80x = 229,820.40 × 48,031.20
  4. Step 4: Simplify right side
    153,208.80x = 11,038,549,596.48
  5. Step 5: Solve for x
    x = 11,038,549,596.48/153,208.80
  6. Step 6: Final answer
    x = 72,049.06

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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.