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Finding the Fourth Proportional to 76,969.32, 106,235.37 and 45,148.47

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Solution

The fourth proportional to 76,969.32, 106,235.37 and 45,148.47 is: 62,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,969.32 : 106,235.37 = 45,148.47 : x
  2. Step 2: Convert to fraction form
    76,969.32/106,235.37 = 45,148.47/x
  3. Step 3: Cross multiply
    76,969.32x = 106,235.37 × 45,148.47
  4. Step 4: Simplify right side
    76,969.32x = 4,796,364,415.38
  5. Step 5: Solve for x
    x = 4,796,364,415.38/76,969.32
  6. Step 6: Final answer
    x = 62,315.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.