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Finding the Fourth Proportional to 153,775.84, 230,462.80 and 78,832.48

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Solution

The fourth proportional to 153,775.84, 230,462.80 and 78,832.48 is: 118,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,775.84 : 230,462.80 = 78,832.48 : x
  2. Step 2: Convert to fraction form
    153,775.84/230,462.80 = 78,832.48/x
  3. Step 3: Cross multiply
    153,775.84x = 230,462.80 × 78,832.48
  4. Step 4: Simplify right side
    153,775.84x = 18,167,954,071.74
  5. Step 5: Solve for x
    x = 18,167,954,071.74/153,775.84
  6. Step 6: Final answer
    x = 118,145.70

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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.