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Finding the Fourth Proportional to 103,289.69, 154,935.22 and 28,417.74

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Solution

The fourth proportional to 103,289.69, 154,935.22 and 28,417.74 is: 42,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,289.69 : 154,935.22 = 28,417.74 : x
  2. Step 2: Convert to fraction form
    103,289.69/154,935.22 = 28,417.74/x
  3. Step 3: Cross multiply
    103,289.69x = 154,935.22 × 28,417.74
  4. Step 4: Simplify right side
    103,289.69x = 4,402,908,727.76
  5. Step 5: Solve for x
    x = 4,402,908,727.76/103,289.69
  6. Step 6: Final answer
    x = 42,626.80

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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.