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Finding the Fourth Proportional to 134,701.76, 185,875.74 and 78,107

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Solution

The fourth proportional to 134,701.76, 185,875.74 and 78,107 is: 107,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,701.76 : 185,875.74 = 78,107 : x
  2. Step 2: Convert to fraction form
    134,701.76/185,875.74 = 78,107/x
  3. Step 3: Cross multiply
    134,701.76x = 185,875.74 × 78,107
  4. Step 4: Simplify right side
    134,701.76x = 14,518,196,424.18
  5. Step 5: Solve for x
    x = 14,518,196,424.18/134,701.76
  6. Step 6: Final answer
    x = 107,780.30

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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.