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Finding the Fourth Proportional to 51,236, 70,705.68 and 28,880

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Solution

The fourth proportional to 51,236, 70,705.68 and 28,880 is: 39,854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236 : 70,705.68 = 28,880 : x
  2. Step 2: Convert to fraction form
    51,236/70,705.68 = 28,880/x
  3. Step 3: Cross multiply
    51,236x = 70,705.68 × 28,880
  4. Step 4: Simplify right side
    51,236x = 2,041,980,038.40
  5. Step 5: Solve for x
    x = 2,041,980,038.40/51,236
  6. Step 6: Final answer
    x = 39,854.40

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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.