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Finding the Fourth Proportional to 97,681.86, 134,827.54 and 57,408.60

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Solution

The fourth proportional to 97,681.86, 134,827.54 and 57,408.60 is: 79,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681.86 : 134,827.54 = 57,408.60 : x
  2. Step 2: Convert to fraction form
    97,681.86/134,827.54 = 57,408.60/x
  3. Step 3: Cross multiply
    97,681.86x = 134,827.54 × 57,408.60
  4. Step 4: Simplify right side
    97,681.86x = 7,740,260,312.84
  5. Step 5: Solve for x
    x = 7,740,260,312.84/97,681.86
  6. Step 6: Final answer
    x = 79,239.49

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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.