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Finding the Fourth Proportional to 102,921, 142,030.98 and 55,817

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Solution

The fourth proportional to 102,921, 142,030.98 and 55,817 is: 77,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,921 : 142,030.98 = 55,817 : x
  2. Step 2: Convert to fraction form
    102,921/142,030.98 = 55,817/x
  3. Step 3: Cross multiply
    102,921x = 142,030.98 × 55,817
  4. Step 4: Simplify right side
    102,921x = 7,927,743,210.66
  5. Step 5: Solve for x
    x = 7,927,743,210.66/102,921
  6. Step 6: Final answer
    x = 77,027.46

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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.