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Finding the Fourth Proportional to 128,013.60, 192,030.64 and 34,518

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Solution

The fourth proportional to 128,013.60, 192,030.64 and 34,518 is: 51,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,013.60 : 192,030.64 = 34,518 : x
  2. Step 2: Convert to fraction form
    128,013.60/192,030.64 = 34,518/x
  3. Step 3: Cross multiply
    128,013.60x = 192,030.64 × 34,518
  4. Step 4: Simplify right side
    128,013.60x = 6,628,513,631.52
  5. Step 5: Solve for x
    x = 6,628,513,631.52/128,013.60
  6. Step 6: Final answer
    x = 51,779.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.