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Finding the Fourth Proportional to 97,776, 134,931 and 53,064

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Solution

The fourth proportional to 97,776, 134,931 and 53,064 is: 73,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,776 : 134,931 = 53,064 : x
  2. Step 2: Convert to fraction form
    97,776/134,931 = 53,064/x
  3. Step 3: Cross multiply
    97,776x = 134,931 × 53,064
  4. Step 4: Simplify right side
    97,776x = 7,159,978,584
  5. Step 5: Solve for x
    x = 7,159,978,584/97,776
  6. Step 6: Final answer
    x = 73,228.39

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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.