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Finding the Fourth Proportional to 153,642.88, 212,029.44 and 85,657.84

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Solution

The fourth proportional to 153,642.88, 212,029.44 and 85,657.84 is: 118,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,642.88 : 212,029.44 = 85,657.84 : x
  2. Step 2: Convert to fraction form
    153,642.88/212,029.44 = 85,657.84/x
  3. Step 3: Cross multiply
    153,642.88x = 212,029.44 × 85,657.84
  4. Step 4: Simplify right side
    153,642.88x = 18,161,983,846.81
  5. Step 5: Solve for x
    x = 18,161,983,846.81/153,642.88
  6. Step 6: Final answer
    x = 118,209.08

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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.