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Finding the Fourth Proportional to 134,526.76, 185,646.92 and 77,970.94

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Solution

The fourth proportional to 134,526.76, 185,646.92 and 77,970.94 is: 107,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,526.76 : 185,646.92 = 77,970.94 : x
  2. Step 2: Convert to fraction form
    134,526.76/185,646.92 = 77,970.94/x
  3. Step 3: Cross multiply
    134,526.76x = 185,646.92 × 77,970.94
  4. Step 4: Simplify right side
    134,526.76x = 14,475,064,860.50
  5. Step 5: Solve for x
    x = 14,475,064,860.50/134,526.76
  6. Step 6: Final answer
    x = 107,599.89

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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.