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Finding the Fourth Proportional to 153,653, 230,518.38 and 42,845

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Solution

The fourth proportional to 153,653, 230,518.38 and 42,845 is: 64,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,653 : 230,518.38 = 42,845 : x
  2. Step 2: Convert to fraction form
    153,653/230,518.38 = 42,845/x
  3. Step 3: Cross multiply
    153,653x = 230,518.38 × 42,845
  4. Step 4: Simplify right side
    153,653x = 9,876,559,991.10
  5. Step 5: Solve for x
    x = 9,876,559,991.10/153,653
  6. Step 6: Final answer
    x = 64,278.34

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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.