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Finding the Fourth Proportional to 101,340, 152,030.16 and 31,216.32

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Solution

The fourth proportional to 101,340, 152,030.16 and 31,216.32 is: 46,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,340 : 152,030.16 = 31,216.32 : x
  2. Step 2: Convert to fraction form
    101,340/152,030.16 = 31,216.32/x
  3. Step 3: Cross multiply
    101,340x = 152,030.16 × 31,216.32
  4. Step 4: Simplify right side
    101,340x = 4,745,822,124.21
  5. Step 5: Solve for x
    x = 4,745,822,124.21/101,340
  6. Step 6: Final answer
    x = 46,830.69

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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.