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Finding the Fourth Proportional to 138,970.60, 191,779.58 and 75,308.51

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Solution

The fourth proportional to 138,970.60, 191,779.58 and 75,308.51 is: 103,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,970.60 : 191,779.58 = 75,308.51 : x
  2. Step 2: Convert to fraction form
    138,970.60/191,779.58 = 75,308.51/x
  3. Step 3: Cross multiply
    138,970.60x = 191,779.58 × 75,308.51
  4. Step 4: Simplify right side
    138,970.60x = 14,442,634,418.23
  5. Step 5: Solve for x
    x = 14,442,634,418.23/138,970.60
  6. Step 6: Final answer
    x = 103,925.83

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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.