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Finding the Fourth Proportional to 171,470.80, 257,206.20 and 53,154.10

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Solution

The fourth proportional to 171,470.80, 257,206.20 and 53,154.10 is: 79,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,470.80 : 257,206.20 = 53,154.10 : x
  2. Step 2: Convert to fraction form
    171,470.80/257,206.20 = 53,154.10/x
  3. Step 3: Cross multiply
    171,470.80x = 257,206.20 × 53,154.10
  4. Step 4: Simplify right side
    171,470.80x = 13,671,564,075.42
  5. Step 5: Solve for x
    x = 13,671,564,075.42/171,470.80
  6. Step 6: Final answer
    x = 79,731.15

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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.