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Finding the Fourth Proportional to 102,415.81, 141,212.92 and 70,165.89

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Solution

The fourth proportional to 102,415.81, 141,212.92 and 70,165.89 is: 96,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.81 : 141,212.92 = 70,165.89 : x
  2. Step 2: Convert to fraction form
    102,415.81/141,212.92 = 70,165.89/x
  3. Step 3: Cross multiply
    102,415.81x = 141,212.92 × 70,165.89
  4. Step 4: Simplify right side
    102,415.81x = 9,908,330,211.30
  5. Step 5: Solve for x
    x = 9,908,330,211.30/102,415.81
  6. Step 6: Final answer
    x = 96,746.10

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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.