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Finding the Fourth Proportional to 107,252.64, 147,911.76 and 66,970.08

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Solution

The fourth proportional to 107,252.64, 147,911.76 and 66,970.08 is: 92,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,252.64 : 147,911.76 = 66,970.08 : x
  2. Step 2: Convert to fraction form
    107,252.64/147,911.76 = 66,970.08/x
  3. Step 3: Cross multiply
    107,252.64x = 147,911.76 × 66,970.08
  4. Step 4: Simplify right side
    107,252.64x = 9,905,662,400.14
  5. Step 5: Solve for x
    x = 9,905,662,400.14/107,252.64
  6. Step 6: Final answer
    x = 92,358.22

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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.