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Finding the Fourth Proportional to 65,143, 89,897.34 and 36,848.08

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Solution

The fourth proportional to 65,143, 89,897.34 and 36,848.08 is: 50,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143 : 89,897.34 = 36,848.08 : x
  2. Step 2: Convert to fraction form
    65,143/89,897.34 = 36,848.08/x
  3. Step 3: Cross multiply
    65,143x = 89,897.34 × 36,848.08
  4. Step 4: Simplify right side
    65,143x = 3,312,544,376.11
  5. Step 5: Solve for x
    x = 3,312,544,376.11/65,143
  6. Step 6: Final answer
    x = 50,850.35

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1.5x scale

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.