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Finding the Fourth Proportional to 208,130.93, 312,005.04 and 74,978.63

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Solution

The fourth proportional to 208,130.93, 312,005.04 and 74,978.63 is: 112,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,130.93 : 312,005.04 = 74,978.63 : x
  2. Step 2: Convert to fraction form
    208,130.93/312,005.04 = 74,978.63/x
  3. Step 3: Cross multiply
    208,130.93x = 312,005.04 × 74,978.63
  4. Step 4: Simplify right side
    208,130.93x = 23,393,709,781.12
  5. Step 5: Solve for x
    x = 23,393,709,781.12/208,130.93
  6. Step 6: Final answer
    x = 112,399.00

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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.