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Finding the Fourth Proportional to 115,854.35, 159,860.52 and 64,869.21

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Solution

The fourth proportional to 115,854.35, 159,860.52 and 64,869.21 is: 89,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,854.35 : 159,860.52 = 64,869.21 : x
  2. Step 2: Convert to fraction form
    115,854.35/159,860.52 = 64,869.21/x
  3. Step 3: Cross multiply
    115,854.35x = 159,860.52 × 64,869.21
  4. Step 4: Simplify right side
    115,854.35x = 10,370,025,642.59
  5. Step 5: Solve for x
    x = 10,370,025,642.59/115,854.35
  6. Step 6: Final answer
    x = 89,509.16

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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.