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Finding the Fourth Proportional to 107,830.49, 148,807.47 and 61,897.55

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Solution

The fourth proportional to 107,830.49, 148,807.47 and 61,897.55 is: 85,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,830.49 : 148,807.47 = 61,897.55 : x
  2. Step 2: Convert to fraction form
    107,830.49/148,807.47 = 61,897.55/x
  3. Step 3: Cross multiply
    107,830.49x = 148,807.47 × 61,897.55
  4. Step 4: Simplify right side
    107,830.49x = 9,210,817,225.41
  5. Step 5: Solve for x
    x = 9,210,817,225.41/107,830.49
  6. Step 6: Final answer
    x = 85,419.42

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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.