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Finding the Fourth Proportional to 97,953.57, 135,157.41 and 92,970.86

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Solution

The fourth proportional to 97,953.57, 135,157.41 and 92,970.86 is: 128,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,953.57 : 135,157.41 = 92,970.86 : x
  2. Step 2: Convert to fraction form
    97,953.57/135,157.41 = 92,970.86/x
  3. Step 3: Cross multiply
    97,953.57x = 135,157.41 × 92,970.86
  4. Step 4: Simplify right side
    97,953.57x = 12,565,699,967.29
  5. Step 5: Solve for x
    x = 12,565,699,967.29/97,953.57
  6. Step 6: Final answer
    x = 128,282.21

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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.