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Finding the Fourth Proportional to 70,510, 97,303.80 and 40,702

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Solution

The fourth proportional to 70,510, 97,303.80 and 40,702 is: 56,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,510 : 97,303.80 = 40,702 : x
  2. Step 2: Convert to fraction form
    70,510/97,303.80 = 40,702/x
  3. Step 3: Cross multiply
    70,510x = 97,303.80 × 40,702
  4. Step 4: Simplify right side
    70,510x = 3,960,459,267.60
  5. Step 5: Solve for x
    x = 3,960,459,267.60/70,510
  6. Step 6: Final answer
    x = 56,168.76

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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.