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Finding the Fourth Proportional to 98,417.94, 135,838.91 and 64,406.72

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Solution

The fourth proportional to 98,417.94, 135,838.91 and 64,406.72 is: 88,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,417.94 : 135,838.91 = 64,406.72 : x
  2. Step 2: Convert to fraction form
    98,417.94/135,838.91 = 64,406.72/x
  3. Step 3: Cross multiply
    98,417.94x = 135,838.91 × 64,406.72
  4. Step 4: Simplify right side
    98,417.94x = 8,748,938,641.48
  5. Step 5: Solve for x
    x = 8,748,938,641.48/98,417.94
  6. Step 6: Final answer
    x = 88,895.77

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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.