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Finding the Fourth Proportional to 104,152.76, 143,730 and 56,405

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Solution

The fourth proportional to 104,152.76, 143,730 and 56,405 is: 77,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,152.76 : 143,730 = 56,405 : x
  2. Step 2: Convert to fraction form
    104,152.76/143,730 = 56,405/x
  3. Step 3: Cross multiply
    104,152.76x = 143,730 × 56,405
  4. Step 4: Simplify right side
    104,152.76x = 8,107,090,650
  5. Step 5: Solve for x
    x = 8,107,090,650/104,152.76
  6. Step 6: Final answer
    x = 77,838.46

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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.