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Finding the Fourth Proportional to 42,912.32, 64,368.47 and 35,006.31

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Solution

The fourth proportional to 42,912.32, 64,368.47 and 35,006.31 is: 52,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912.32 : 64,368.47 = 35,006.31 : x
  2. Step 2: Convert to fraction form
    42,912.32/64,368.47 = 35,006.31/x
  3. Step 3: Cross multiply
    42,912.32x = 64,368.47 × 35,006.31
  4. Step 4: Simplify right side
    42,912.32x = 2,253,302,702.56
  5. Step 5: Solve for x
    x = 2,253,302,702.56/42,912.32
  6. Step 6: Final answer
    x = 52,509.47

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1.5x scale

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.