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Finding the Fourth Proportional to 208,005.42, 312,055.10 and 65,859.32

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Solution

The fourth proportional to 208,005.42, 312,055.10 and 65,859.32 is: 98,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,005.42 : 312,055.10 = 65,859.32 : x
  2. Step 2: Convert to fraction form
    208,005.42/312,055.10 = 65,859.32/x
  3. Step 3: Cross multiply
    208,005.42x = 312,055.10 × 65,859.32
  4. Step 4: Simplify right side
    208,005.42x = 20,551,736,688.53
  5. Step 5: Solve for x
    x = 20,551,736,688.53/208,005.42
  6. Step 6: Final answer
    x = 98,803.85

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1.5x scale

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.