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Finding the Fourth Proportional to 189,078.90, 260,925.53 and 103,038.65

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Solution

The fourth proportional to 189,078.90, 260,925.53 and 103,038.65 is: 142,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,078.90 : 260,925.53 = 103,038.65 : x
  2. Step 2: Convert to fraction form
    189,078.90/260,925.53 = 103,038.65/x
  3. Step 3: Cross multiply
    189,078.90x = 260,925.53 × 103,038.65
  4. Step 4: Simplify right side
    189,078.90x = 26,885,412,541.91
  5. Step 5: Solve for x
    x = 26,885,412,541.91/189,078.90
  6. Step 6: Final answer
    x = 142,191.50

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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.