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Finding the Fourth Proportional to 152,978.12, 229,500.40 and 46,353.52

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Solution

The fourth proportional to 152,978.12, 229,500.40 and 46,353.52 is: 69,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,978.12 : 229,500.40 = 46,353.52 : x
  2. Step 2: Convert to fraction form
    152,978.12/229,500.40 = 46,353.52/x
  3. Step 3: Cross multiply
    152,978.12x = 229,500.40 × 46,353.52
  4. Step 4: Simplify right side
    152,978.12x = 10,638,151,381.41
  5. Step 5: Solve for x
    x = 10,638,151,381.41/152,978.12
  6. Step 6: Final answer
    x = 69,540.35

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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.