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Finding the Fourth Proportional to 154,978.58, 232,557.55 and 65,013.23

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Solution

The fourth proportional to 154,978.58, 232,557.55 and 65,013.23 is: 97,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,978.58 : 232,557.55 = 65,013.23 : x
  2. Step 2: Convert to fraction form
    154,978.58/232,557.55 = 65,013.23/x
  3. Step 3: Cross multiply
    154,978.58x = 232,557.55 × 65,013.23
  4. Step 4: Simplify right side
    154,978.58x = 15,119,317,486.39
  5. Step 5: Solve for x
    x = 15,119,317,486.39/154,978.58
  6. Step 6: Final answer
    x = 97,557.47

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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.