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Finding the Fourth Proportional to 106,616.81, 147,078.05 and 63,565.94

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Solution

The fourth proportional to 106,616.81, 147,078.05 and 63,565.94 is: 87,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,616.81 : 147,078.05 = 63,565.94 : x
  2. Step 2: Convert to fraction form
    106,616.81/147,078.05 = 63,565.94/x
  3. Step 3: Cross multiply
    106,616.81x = 147,078.05 × 63,565.94
  4. Step 4: Simplify right side
    106,616.81x = 9,349,154,674.16
  5. Step 5: Solve for x
    x = 9,349,154,674.16/106,616.81
  6. Step 6: Final answer
    x = 87,689.31

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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.