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Finding the Fourth Proportional to 152,726.64, 210,763.80 and 89,067.12

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Solution

The fourth proportional to 152,726.64, 210,763.80 and 89,067.12 is: 122,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,726.64 : 210,763.80 = 89,067.12 : x
  2. Step 2: Convert to fraction form
    152,726.64/210,763.80 = 89,067.12/x
  3. Step 3: Cross multiply
    152,726.64x = 210,763.80 × 89,067.12
  4. Step 4: Simplify right side
    152,726.64x = 18,772,124,666.26
  5. Step 5: Solve for x
    x = 18,772,124,666.26/152,726.64
  6. Step 6: Final answer
    x = 122,913.23

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1.5x scale

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.