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Finding the Fourth Proportional to 77,817.34, 107,390.08 and 47,602.10

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Solution

The fourth proportional to 77,817.34, 107,390.08 and 47,602.10 is: 65,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,817.34 : 107,390.08 = 47,602.10 : x
  2. Step 2: Convert to fraction form
    77,817.34/107,390.08 = 47,602.10/x
  3. Step 3: Cross multiply
    77,817.34x = 107,390.08 × 47,602.10
  4. Step 4: Simplify right side
    77,817.34x = 5,111,993,327.17
  5. Step 5: Solve for x
    x = 5,111,993,327.17/77,817.34
  6. Step 6: Final answer
    x = 65,692.21

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1.5x scale

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.