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Finding the Fourth Proportional to 78,155.64, 107,854.08 and 46,339.62

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Solution

The fourth proportional to 78,155.64, 107,854.08 and 46,339.62 is: 63,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,155.64 : 107,854.08 = 46,339.62 : x
  2. Step 2: Convert to fraction form
    78,155.64/107,854.08 = 46,339.62/x
  3. Step 3: Cross multiply
    78,155.64x = 107,854.08 × 46,339.62
  4. Step 4: Simplify right side
    78,155.64x = 4,997,917,082.65
  5. Step 5: Solve for x
    x = 4,997,917,082.65/78,155.64
  6. Step 6: Final answer
    x = 63,948.26

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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.