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Finding the Fourth Proportional to 105,242.13, 157,095.47 and 91,955.97

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Solution

The fourth proportional to 105,242.13, 157,095.47 and 91,955.97 is: 137,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,242.13 : 157,095.47 = 91,955.97 : x
  2. Step 2: Convert to fraction form
    105,242.13/157,095.47 = 91,955.97/x
  3. Step 3: Cross multiply
    105,242.13x = 157,095.47 × 91,955.97
  4. Step 4: Simplify right side
    105,242.13x = 14,445,866,556.35
  5. Step 5: Solve for x
    x = 14,445,866,556.35/105,242.13
  6. Step 6: Final answer
    x = 137,263.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.