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Finding the Fourth Proportional to 260,068.98, 390,158.01 and 147,801.18

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Solution

The fourth proportional to 260,068.98, 390,158.01 and 147,801.18 is: 221,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,068.98 : 390,158.01 = 147,801.18 : x
  2. Step 2: Convert to fraction form
    260,068.98/390,158.01 = 147,801.18/x
  3. Step 3: Cross multiply
    260,068.98x = 390,158.01 × 147,801.18
  4. Step 4: Simplify right side
    260,068.98x = 57,665,814,264.45
  5. Step 5: Solve for x
    x = 57,665,814,264.45/260,068.98
  6. Step 6: Final answer
    x = 221,732.77

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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.