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Finding the Fourth Proportional to 49,762.80, 74,543.40 and 30,985.20

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Solution

The fourth proportional to 49,762.80, 74,543.40 and 30,985.20 is: 46,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.80 : 74,543.40 = 30,985.20 : x
  2. Step 2: Convert to fraction form
    49,762.80/74,543.40 = 30,985.20/x
  3. Step 3: Cross multiply
    49,762.80x = 74,543.40 × 30,985.20
  4. Step 4: Simplify right side
    49,762.80x = 2,309,742,157.68
  5. Step 5: Solve for x
    x = 2,309,742,157.68/49,762.80
  6. Step 6: Final answer
    x = 46,415.04

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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.