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Finding the Fourth Proportional to 65,813.58, 98,730.63 and 21,430.01

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Solution

The fourth proportional to 65,813.58, 98,730.63 and 21,430.01 is: 32,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.58 : 98,730.63 = 21,430.01 : x
  2. Step 2: Convert to fraction form
    65,813.58/98,730.63 = 21,430.01/x
  3. Step 3: Cross multiply
    65,813.58x = 98,730.63 × 21,430.01
  4. Step 4: Simplify right side
    65,813.58x = 2,115,798,554.67
  5. Step 5: Solve for x
    x = 2,115,798,554.67/65,813.58
  6. Step 6: Final answer
    x = 32,148.36

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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.