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Finding the Fourth Proportional to 101,970.46, 152,955.69 and 39,655.54

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Solution

The fourth proportional to 101,970.46, 152,955.69 and 39,655.54 is: 59,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.46 : 152,955.69 = 39,655.54 : x
  2. Step 2: Convert to fraction form
    101,970.46/152,955.69 = 39,655.54/x
  3. Step 3: Cross multiply
    101,970.46x = 152,955.69 × 39,655.54
  4. Step 4: Simplify right side
    101,970.46x = 6,065,540,483.02
  5. Step 5: Solve for x
    x = 6,065,540,483.02/101,970.46
  6. Step 6: Final answer
    x = 59,483.31

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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.