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Finding the Fourth Proportional to 106,712.64, 147,278.16 and 61,389.77

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Solution

The fourth proportional to 106,712.64, 147,278.16 and 61,389.77 is: 84,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,712.64 : 147,278.16 = 61,389.77 : x
  2. Step 2: Convert to fraction form
    106,712.64/147,278.16 = 61,389.77/x
  3. Step 3: Cross multiply
    106,712.64x = 147,278.16 × 61,389.77
  4. Step 4: Simplify right side
    106,712.64x = 9,041,371,632.03
  5. Step 5: Solve for x
    x = 9,041,371,632.03/106,712.64
  6. Step 6: Final answer
    x = 84,726.34

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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.