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Finding the Fourth Proportional to 261,970.80, 392,956.20 and 122,002.80

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Solution

The fourth proportional to 261,970.80, 392,956.20 and 122,002.80 is: 183,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,970.80 : 392,956.20 = 122,002.80 : x
  2. Step 2: Convert to fraction form
    261,970.80/392,956.20 = 122,002.80/x
  3. Step 3: Cross multiply
    261,970.80x = 392,956.20 × 122,002.80
  4. Step 4: Simplify right side
    261,970.80x = 47,941,756,677.36
  5. Step 5: Solve for x
    x = 47,941,756,677.36/261,970.80
  6. Step 6: Final answer
    x = 183,004.20

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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.