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Finding the Fourth Proportional to 109,913.60, 164,870.40 and 65,590.40

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Solution

The fourth proportional to 109,913.60, 164,870.40 and 65,590.40 is: 98,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913.60 : 164,870.40 = 65,590.40 : x
  2. Step 2: Convert to fraction form
    109,913.60/164,870.40 = 65,590.40/x
  3. Step 3: Cross multiply
    109,913.60x = 164,870.40 × 65,590.40
  4. Step 4: Simplify right side
    109,913.60x = 10,813,915,484.16
  5. Step 5: Solve for x
    x = 10,813,915,484.16/109,913.60
  6. Step 6: Final answer
    x = 98,385.60

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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.