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Finding the Fourth Proportional to 154,649, 213,416.02 and 90,156.54

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Solution

The fourth proportional to 154,649, 213,416.02 and 90,156.54 is: 124,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,649 : 213,416.02 = 90,156.54 : x
  2. Step 2: Convert to fraction form
    154,649/213,416.02 = 90,156.54/x
  3. Step 3: Cross multiply
    154,649x = 213,416.02 × 90,156.54
  4. Step 4: Simplify right side
    154,649x = 19,240,849,943.77
  5. Step 5: Solve for x
    x = 19,240,849,943.77/154,649
  6. Step 6: Final answer
    x = 124,416.26

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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.