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Finding the Fourth Proportional to 107,978.17, 148,808.09 and 77,710.94

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Solution

The fourth proportional to 107,978.17, 148,808.09 and 77,710.94 is: 107,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,978.17 : 148,808.09 = 77,710.94 : x
  2. Step 2: Convert to fraction form
    107,978.17/148,808.09 = 77,710.94/x
  3. Step 3: Cross multiply
    107,978.17x = 148,808.09 × 77,710.94
  4. Step 4: Simplify right side
    107,978.17x = 11,564,017,453.46
  5. Step 5: Solve for x
    x = 11,564,017,453.46/107,978.17
  6. Step 6: Final answer
    x = 107,095.88

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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.