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Finding the Fourth Proportional to 102,011.94, 140,910.30 and 70,125.48

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Solution

The fourth proportional to 102,011.94, 140,910.30 and 70,125.48 is: 96,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011.94 : 140,910.30 = 70,125.48 : x
  2. Step 2: Convert to fraction form
    102,011.94/140,910.30 = 70,125.48/x
  3. Step 3: Cross multiply
    102,011.94x = 140,910.30 × 70,125.48
  4. Step 4: Simplify right side
    102,011.94x = 9,881,402,424.44
  5. Step 5: Solve for x
    x = 9,881,402,424.44/102,011.94
  6. Step 6: Final answer
    x = 96,865.16

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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.