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Finding the Fourth Proportional to 86,492.34, 129,886.74 and 53,408.16

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Solution

The fourth proportional to 86,492.34, 129,886.74 and 53,408.16 is: 80,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,492.34 : 129,886.74 = 53,408.16 : x
  2. Step 2: Convert to fraction form
    86,492.34/129,886.74 = 53,408.16/x
  3. Step 3: Cross multiply
    86,492.34x = 129,886.74 × 53,408.16
  4. Step 4: Simplify right side
    86,492.34x = 6,937,011,791.80
  5. Step 5: Solve for x
    x = 6,937,011,791.80/86,492.34
  6. Step 6: Final answer
    x = 80,203.77

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1.5x scale

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.