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Finding the Fourth Proportional to 194,417.80, 291,590.70 and 54,147.40

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Solution

The fourth proportional to 194,417.80, 291,590.70 and 54,147.40 is: 81,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,417.80 : 291,590.70 = 54,147.40 : x
  2. Step 2: Convert to fraction form
    194,417.80/291,590.70 = 54,147.40/x
  3. Step 3: Cross multiply
    194,417.80x = 291,590.70 × 54,147.40
  4. Step 4: Simplify right side
    194,417.80x = 15,788,878,269.18
  5. Step 5: Solve for x
    x = 15,788,878,269.18/194,417.80
  6. Step 6: Final answer
    x = 81,211.07

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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.