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Finding the Fourth Proportional to 245,475.76, 338,753.32 and 138,045.77

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Solution

The fourth proportional to 245,475.76, 338,753.32 and 138,045.77 is: 190,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,475.76 : 338,753.32 = 138,045.77 : x
  2. Step 2: Convert to fraction form
    245,475.76/338,753.32 = 138,045.77/x
  3. Step 3: Cross multiply
    245,475.76x = 338,753.32 × 138,045.77
  4. Step 4: Simplify right side
    245,475.76x = 46,763,461,205.69
  5. Step 5: Solve for x
    x = 46,763,461,205.69/245,475.76
  6. Step 6: Final answer
    x = 190,501.34

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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.