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Finding the Fourth Proportional to 109,867.59, 164,801.39 and 39,730.50

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Solution

The fourth proportional to 109,867.59, 164,801.39 and 39,730.50 is: 59,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,867.59 : 164,801.39 = 39,730.50 : x
  2. Step 2: Convert to fraction form
    109,867.59/164,801.39 = 39,730.50/x
  3. Step 3: Cross multiply
    109,867.59x = 164,801.39 × 39,730.50
  4. Step 4: Simplify right side
    109,867.59x = 6,547,641,426.74
  5. Step 5: Solve for x
    x = 6,547,641,426.74/109,867.59
  6. Step 6: Final answer
    x = 59,595.75

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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.