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Finding the Fourth Proportional to 53,283.76, 79,900.80 and 15,830.08

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Solution

The fourth proportional to 53,283.76, 79,900.80 and 15,830.08 is: 23,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283.76 : 79,900.80 = 15,830.08 : x
  2. Step 2: Convert to fraction form
    53,283.76/79,900.80 = 15,830.08/x
  3. Step 3: Cross multiply
    53,283.76x = 79,900.80 × 15,830.08
  4. Step 4: Simplify right side
    53,283.76x = 1,264,836,056.06
  5. Step 5: Solve for x
    x = 1,264,836,056.06/53,283.76
  6. Step 6: Final answer
    x = 23,737.74

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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.