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Finding the Fourth Proportional to 145,411.30, 218,116.95 and 51,904.90

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Solution

The fourth proportional to 145,411.30, 218,116.95 and 51,904.90 is: 77,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,411.30 : 218,116.95 = 51,904.90 : x
  2. Step 2: Convert to fraction form
    145,411.30/218,116.95 = 51,904.90/x
  3. Step 3: Cross multiply
    145,411.30x = 218,116.95 × 51,904.90
  4. Step 4: Simplify right side
    145,411.30x = 11,321,338,478.06
  5. Step 5: Solve for x
    x = 11,321,338,478.06/145,411.30
  6. Step 6: Final answer
    x = 77,857.35

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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.