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Finding the Fourth Proportional to 189,078.99, 260,925.65 and 103,038.74

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Solution

The fourth proportional to 189,078.99, 260,925.65 and 103,038.74 is: 142,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,078.99 : 260,925.65 = 103,038.74 : x
  2. Step 2: Convert to fraction form
    189,078.99/260,925.65 = 103,038.74/x
  3. Step 3: Cross multiply
    189,078.99x = 260,925.65 × 103,038.74
  4. Step 4: Simplify right side
    189,078.99x = 26,885,450,334.32
  5. Step 5: Solve for x
    x = 26,885,450,334.32/189,078.99
  6. Step 6: Final answer
    x = 142,191.64

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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.