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Finding the Fourth Proportional to 102,246.40, 153,376.80 and 57,894.40

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Solution

The fourth proportional to 102,246.40, 153,376.80 and 57,894.40 is: 86,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246.40 : 153,376.80 = 57,894.40 : x
  2. Step 2: Convert to fraction form
    102,246.40/153,376.80 = 57,894.40/x
  3. Step 3: Cross multiply
    102,246.40x = 153,376.80 × 57,894.40
  4. Step 4: Simplify right side
    102,246.40x = 8,879,657,809.92
  5. Step 5: Solve for x
    x = 8,879,657,809.92/102,246.40
  6. Step 6: Final answer
    x = 86,845.68

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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.