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Finding the Fourth Proportional to 153,311.19, 229,978.26 and 40,988.90

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Solution

The fourth proportional to 153,311.19, 229,978.26 and 40,988.90 is: 61,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,311.19 : 229,978.26 = 40,988.90 : x
  2. Step 2: Convert to fraction form
    153,311.19/229,978.26 = 40,988.90/x
  3. Step 3: Cross multiply
    153,311.19x = 229,978.26 × 40,988.90
  4. Step 4: Simplify right side
    153,311.19x = 9,426,554,751.42
  5. Step 5: Solve for x
    x = 9,426,554,751.42/153,311.19
  6. Step 6: Final answer
    x = 61,486.41

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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.