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Finding the Fourth Proportional to 153,970.10, 230,955.15 and 101,438.90

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Solution

The fourth proportional to 153,970.10, 230,955.15 and 101,438.90 is: 152,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,970.10 : 230,955.15 = 101,438.90 : x
  2. Step 2: Convert to fraction form
    153,970.10/230,955.15 = 101,438.90/x
  3. Step 3: Cross multiply
    153,970.10x = 230,955.15 × 101,438.90
  4. Step 4: Simplify right side
    153,970.10x = 23,427,836,365.34
  5. Step 5: Solve for x
    x = 23,427,836,365.34/153,970.10
  6. Step 6: Final answer
    x = 152,158.35

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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.