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Finding the Fourth Proportional to 145,157.04, 217,689.48 and 46,638

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Solution

The fourth proportional to 145,157.04, 217,689.48 and 46,638 is: 69,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,157.04 : 217,689.48 = 46,638 : x
  2. Step 2: Convert to fraction form
    145,157.04/217,689.48 = 46,638/x
  3. Step 3: Cross multiply
    145,157.04x = 217,689.48 × 46,638
  4. Step 4: Simplify right side
    145,157.04x = 10,152,601,968.24
  5. Step 5: Solve for x
    x = 10,152,601,968.24/145,157.04
  6. Step 6: Final answer
    x = 69,942.19

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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.