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Finding the Fourth Proportional to 115,154, 158,913 and 64,853.84

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Solution

The fourth proportional to 115,154, 158,913 and 64,853.84 is: 89,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,154 : 158,913 = 64,853.84 : x
  2. Step 2: Convert to fraction form
    115,154/158,913 = 64,853.84/x
  3. Step 3: Cross multiply
    115,154x = 158,913 × 64,853.84
  4. Step 4: Simplify right side
    115,154x = 10,306,118,275.92
  5. Step 5: Solve for x
    x = 10,306,118,275.92/115,154
  6. Step 6: Final answer
    x = 89,498.57

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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.