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Finding the Fourth Proportional to 145,161.04, 217,695.48 and 46,642

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Solution

The fourth proportional to 145,161.04, 217,695.48 and 46,642 is: 69,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,161.04 : 217,695.48 = 46,642 : x
  2. Step 2: Convert to fraction form
    145,161.04/217,695.48 = 46,642/x
  3. Step 3: Cross multiply
    145,161.04x = 217,695.48 × 46,642
  4. Step 4: Simplify right side
    145,161.04x = 10,153,752,578.16
  5. Step 5: Solve for x
    x = 10,153,752,578.16/145,161.04
  6. Step 6: Final answer
    x = 69,948.19

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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.