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Finding the Fourth Proportional to 153,688.32, 230,420.43 and 103,644.09

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Solution

The fourth proportional to 153,688.32, 230,420.43 and 103,644.09 is: 155,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,688.32 : 230,420.43 = 103,644.09 : x
  2. Step 2: Convert to fraction form
    153,688.32/230,420.43 = 103,644.09/x
  3. Step 3: Cross multiply
    153,688.32x = 230,420.43 × 103,644.09
  4. Step 4: Simplify right side
    153,688.32x = 23,881,715,784.76
  5. Step 5: Solve for x
    x = 23,881,715,784.76/153,688.32
  6. Step 6: Final answer
    x = 155,390.57

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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.