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Finding the Fourth Proportional to 105,417.90, 145,470.51 and 57,661.74

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Solution

The fourth proportional to 105,417.90, 145,470.51 and 57,661.74 is: 79,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417.90 : 145,470.51 = 57,661.74 : x
  2. Step 2: Convert to fraction form
    105,417.90/145,470.51 = 57,661.74/x
  3. Step 3: Cross multiply
    105,417.90x = 145,470.51 × 57,661.74
  4. Step 4: Simplify right side
    105,417.90x = 8,388,082,725.29
  5. Step 5: Solve for x
    x = 8,388,082,725.29/105,417.90
  6. Step 6: Final answer
    x = 79,569.81

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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.