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Finding the Fourth Proportional to 70,588.54, 97,400.68 and 40,369

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Solution

The fourth proportional to 70,588.54, 97,400.68 and 40,369 is: 55,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,588.54 : 97,400.68 = 40,369 : x
  2. Step 2: Convert to fraction form
    70,588.54/97,400.68 = 40,369/x
  3. Step 3: Cross multiply
    70,588.54x = 97,400.68 × 40,369
  4. Step 4: Simplify right side
    70,588.54x = 3,931,968,050.92
  5. Step 5: Solve for x
    x = 3,931,968,050.92/70,588.54
  6. Step 6: Final answer
    x = 55,702.64

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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.