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Finding the Fourth Proportional to 145,827, 218,779.38 and 71,955

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Solution

The fourth proportional to 145,827, 218,779.38 and 71,955 is: 107,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,827 : 218,779.38 = 71,955 : x
  2. Step 2: Convert to fraction form
    145,827/218,779.38 = 71,955/x
  3. Step 3: Cross multiply
    145,827x = 218,779.38 × 71,955
  4. Step 4: Simplify right side
    145,827x = 15,742,270,287.90
  5. Step 5: Solve for x
    x = 15,742,270,287.90/145,827
  6. Step 6: Final answer
    x = 107,951.68

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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.