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Finding the Fourth Proportional to 157,978.04, 218,048.87 and 90,035.31

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Solution

The fourth proportional to 157,978.04, 218,048.87 and 90,035.31 is: 124,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,978.04 : 218,048.87 = 90,035.31 : x
  2. Step 2: Convert to fraction form
    157,978.04/218,048.87 = 90,035.31/x
  3. Step 3: Cross multiply
    157,978.04x = 218,048.87 × 90,035.31
  4. Step 4: Simplify right side
    157,978.04x = 19,632,097,605.60
  5. Step 5: Solve for x
    x = 19,632,097,605.60/157,978.04
  6. Step 6: Final answer
    x = 124,271.05

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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.