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Finding the Fourth Proportional to 560,021.61, 840,030.75 and 139,297.50

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Solution

The fourth proportional to 560,021.61, 840,030.75 and 139,297.50 is: 208,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,021.61 : 840,030.75 = 139,297.50 : x
  2. Step 2: Convert to fraction form
    560,021.61/840,030.75 = 139,297.50/x
  3. Step 3: Cross multiply
    560,021.61x = 840,030.75 × 139,297.50
  4. Step 4: Simplify right side
    560,021.61x = 117,014,183,398.13
  5. Step 5: Solve for x
    x = 117,014,183,398.13/560,021.61
  6. Step 6: Final answer
    x = 208,945.84

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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.