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Finding the Fourth Proportional to 175,140, 241,693.47 and 99,688.50

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Solution

The fourth proportional to 175,140, 241,693.47 and 99,688.50 is: 137,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,140 : 241,693.47 = 99,688.50 : x
  2. Step 2: Convert to fraction form
    175,140/241,693.47 = 99,688.50/x
  3. Step 3: Cross multiply
    175,140x = 241,693.47 × 99,688.50
  4. Step 4: Simplify right side
    175,140x = 24,094,059,484.10
  5. Step 5: Solve for x
    x = 24,094,059,484.10/175,140
  6. Step 6: Final answer
    x = 137,570.28

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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.