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Finding the Fourth Proportional to 78,531.84, 108,224.64 and 56,136.96

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Solution

The fourth proportional to 78,531.84, 108,224.64 and 56,136.96 is: 77,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,531.84 : 108,224.64 = 56,136.96 : x
  2. Step 2: Convert to fraction form
    78,531.84/108,224.64 = 56,136.96/x
  3. Step 3: Cross multiply
    78,531.84x = 108,224.64 × 56,136.96
  4. Step 4: Simplify right side
    78,531.84x = 6,075,402,286.69
  5. Step 5: Solve for x
    x = 6,075,402,286.69/78,531.84
  6. Step 6: Final answer
    x = 77,362.28

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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.