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Finding the Fourth Proportional to 153,641, 230,461.50 and 36,905

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Solution

The fourth proportional to 153,641, 230,461.50 and 36,905 is: 55,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,641 : 230,461.50 = 36,905 : x
  2. Step 2: Convert to fraction form
    153,641/230,461.50 = 36,905/x
  3. Step 3: Cross multiply
    153,641x = 230,461.50 × 36,905
  4. Step 4: Simplify right side
    153,641x = 8,505,181,657.50
  5. Step 5: Solve for x
    x = 8,505,181,657.50/153,641
  6. Step 6: Final answer
    x = 55,357.50

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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.