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Finding the Fourth Proportional to 61,107.40, 84,214.06 and 47,657.40

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Solution

The fourth proportional to 61,107.40, 84,214.06 and 47,657.40 is: 65,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,107.40 : 84,214.06 = 47,657.40 : x
  2. Step 2: Convert to fraction form
    61,107.40/84,214.06 = 47,657.40/x
  3. Step 3: Cross multiply
    61,107.40x = 84,214.06 × 47,657.40
  4. Step 4: Simplify right side
    61,107.40x = 4,013,423,143.04
  5. Step 5: Solve for x
    x = 4,013,423,143.04/61,107.40
  6. Step 6: Final answer
    x = 65,678.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.