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Finding the Fourth Proportional to 172,465.90, 258,698.92 and 77,585.26

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Solution

The fourth proportional to 172,465.90, 258,698.92 and 77,585.26 is: 116,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,465.90 : 258,698.92 = 77,585.26 : x
  2. Step 2: Convert to fraction form
    172,465.90/258,698.92 = 77,585.26/x
  3. Step 3: Cross multiply
    172,465.90x = 258,698.92 × 77,585.26
  4. Step 4: Simplify right side
    172,465.90x = 20,071,222,977.95
  5. Step 5: Solve for x
    x = 20,071,222,977.95/172,465.90
  6. Step 6: Final answer
    x = 116,377.92

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1.5x scale

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.