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Finding the Fourth Proportional to 101,148, 139,584.24 and 56,436

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Solution

The fourth proportional to 101,148, 139,584.24 and 56,436 is: 77,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,148 : 139,584.24 = 56,436 : x
  2. Step 2: Convert to fraction form
    101,148/139,584.24 = 56,436/x
  3. Step 3: Cross multiply
    101,148x = 139,584.24 × 56,436
  4. Step 4: Simplify right side
    101,148x = 7,877,576,168.64
  5. Step 5: Solve for x
    x = 7,877,576,168.64/101,148
  6. Step 6: Final answer
    x = 77,881.68

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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.