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Finding the Fourth Proportional to 145,536, 218,373.12 and 47,040

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Solution

The fourth proportional to 145,536, 218,373.12 and 47,040 is: 70,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536 : 218,373.12 = 47,040 : x
  2. Step 2: Convert to fraction form
    145,536/218,373.12 = 47,040/x
  3. Step 3: Cross multiply
    145,536x = 218,373.12 × 47,040
  4. Step 4: Simplify right side
    145,536x = 10,272,271,564.80
  5. Step 5: Solve for x
    x = 10,272,271,564.80/145,536
  6. Step 6: Final answer
    x = 70,582.34

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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.