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Finding the Fourth Proportional to 53,261.16, 79,904.02 and 15,820.40

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Solution

The fourth proportional to 53,261.16, 79,904.02 and 15,820.40 is: 23,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,261.16 : 79,904.02 = 15,820.40 : x
  2. Step 2: Convert to fraction form
    53,261.16/79,904.02 = 15,820.40/x
  3. Step 3: Cross multiply
    53,261.16x = 79,904.02 × 15,820.40
  4. Step 4: Simplify right side
    53,261.16x = 1,264,113,558.01
  5. Step 5: Solve for x
    x = 1,264,113,558.01/53,261.16
  6. Step 6: Final answer
    x = 23,734.25

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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.