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Finding the Fourth Proportional to 105,358.50, 145,394.73 and 60,646.50

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Solution

The fourth proportional to 105,358.50, 145,394.73 and 60,646.50 is: 83,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,358.50 : 145,394.73 = 60,646.50 : x
  2. Step 2: Convert to fraction form
    105,358.50/145,394.73 = 60,646.50/x
  3. Step 3: Cross multiply
    105,358.50x = 145,394.73 × 60,646.50
  4. Step 4: Simplify right side
    105,358.50x = 8,817,681,492.95
  5. Step 5: Solve for x
    x = 8,817,681,492.95/105,358.50
  6. Step 6: Final answer
    x = 83,692.17

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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.