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Finding the Fourth Proportional to 52,602.36, 78,903.77 and 13,159.36

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Solution

The fourth proportional to 52,602.36, 78,903.77 and 13,159.36 is: 19,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602.36 : 78,903.77 = 13,159.36 : x
  2. Step 2: Convert to fraction form
    52,602.36/78,903.77 = 13,159.36/x
  3. Step 3: Cross multiply
    52,602.36x = 78,903.77 × 13,159.36
  4. Step 4: Simplify right side
    52,602.36x = 1,038,323,221.64
  5. Step 5: Solve for x
    x = 1,038,323,221.64/52,602.36
  6. Step 6: Final answer
    x = 19,739.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.