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Finding the Fourth Proportional to 105,792, 145,992.96 and 61,080

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Solution

The fourth proportional to 105,792, 145,992.96 and 61,080 is: 84,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792 : 145,992.96 = 61,080 : x
  2. Step 2: Convert to fraction form
    105,792/145,992.96 = 61,080/x
  3. Step 3: Cross multiply
    105,792x = 145,992.96 × 61,080
  4. Step 4: Simplify right side
    105,792x = 8,917,249,996.80
  5. Step 5: Solve for x
    x = 8,917,249,996.80/105,792
  6. Step 6: Final answer
    x = 84,290.40

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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.