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Finding the Fourth Proportional to 139,095.84, 208,643.76 and 65,206.56

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Solution

The fourth proportional to 139,095.84, 208,643.76 and 65,206.56 is: 97,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,095.84 : 208,643.76 = 65,206.56 : x
  2. Step 2: Convert to fraction form
    139,095.84/208,643.76 = 65,206.56/x
  3. Step 3: Cross multiply
    139,095.84x = 208,643.76 × 65,206.56
  4. Step 4: Simplify right side
    139,095.84x = 13,604,941,855.07
  5. Step 5: Solve for x
    x = 13,604,941,855.07/139,095.84
  6. Step 6: Final answer
    x = 97,809.84

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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.