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Finding the Fourth Proportional to 134,994, 186,289.80 and 78,437.20

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Solution

The fourth proportional to 134,994, 186,289.80 and 78,437.20 is: 108,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,994 : 186,289.80 = 78,437.20 : x
  2. Step 2: Convert to fraction form
    134,994/186,289.80 = 78,437.20/x
  3. Step 3: Cross multiply
    134,994x = 186,289.80 × 78,437.20
  4. Step 4: Simplify right side
    134,994x = 14,612,050,300.56
  5. Step 5: Solve for x
    x = 14,612,050,300.56/134,994
  6. Step 6: Final answer
    x = 108,242.22

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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.